Simultaneous sign change and equidistribution of signs of Fourier coefficients of two cusp forms

被引：5

作者：

Amin Amri, Mohammed ^{[1
]}

机构：

[1] Mohammed First Univ, Fac Sci, Dept Math, ACSA Lab, Oujda, Morocco

来源：

ARCHIV DER MATHEMATIK | 2018年 / 111卷 / 03期

关键词：

Simultaneous sign changes; Fourier coefficients; Sato-Tate conjecture; HALF-INTEGRAL WEIGHT; MODULAR-FORMS;

D O I：

10.1007/s00013-018-1203-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the simultaneous sign change of Fourier coefficients of a pair of distinct normalized newforms of integral weight supported on primes power indices, we also prove some equidistribution results. Finally, we consider an analogous question for Fourier coefficients of a pair of half-integral weight Hecke eigenforms.

引用

页码：257 / 266

页数：10

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